document.write( "Question 710917: If the length of the hour and the minute hands of a clock are 4 cm and 6 cm,
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document.write( "respectively, what is the distance in cm between the tips of the hands at two
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document.write( "o'clock?
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Algebra.Com's Answer #437246 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! If the length of the hour and the minute hands of a clock are 4 cm and 6 cm, \n" ); document.write( "respectively, what is the distance in cm between the tips of the hands at two \n" ); document.write( "o'clock? \n" ); document.write( "** \n" ); document.write( "At 2 o'clock, the included angle between the hour and minute hands=60º \n" ); document.write( "let x=distance between the tips of the hands at 2 o'clock \n" ); document.write( "using law of cosines: c^2=a^2+b^2-2*a*b*cosC \n" ); document.write( "x^2=4^2+6^2-2*4*6*cos60º \n" ); document.write( "x^2=16+36-48*1/2 \n" ); document.write( "x^2=28 \n" ); document.write( "x≈5.29 \n" ); document.write( "distance between the tips of the hands at 2 o'clock=5.29 cm \n" ); document.write( " |